Abstract
The mesh of buses (MBUSs) is a parallel computation model which consists of n×n processors, n row buses and n column buses. Upper and lower bounds for the routing problem over MBUSs are discussed. We first show elementary upper and lower bounds, 2n and 0.5n, respectively, for its parallel time complexity. The gap between 2n and 0.5n is then narrowed to 1.5n and n 1 which is the main theme of the paper. The n lower bound might seem to be trivial but is actually not. Three counter examples will be shown against this kind of easy intuition.
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Supported by Scientific Research Grant, Ministry of Education, Japan, No. 02302047 and No. 04650318.
Supported by Scientific Research Grant, Ministry of Education, Japan, No. 01302059 and No. 01633010.
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References
A. Borodin and J. Hoporoft. Routing, merging and sorting on parallel models of computations. In Proc. 14th ACM Symposium on Theory of Computing, pp. 338–344, 1982.
K. Iwama and Y. Kambayashi. An o(logn) parallel connectivity algorithm on the mesh of buses. In Proc. 11th IFIP World Computer Congress, pp. 305–310, 1989.
K. Iwama, E. Miyano, and Y. Kambayashi. A parallel sorting algorithm on the mesh-bus machine. Information Processing Society of Japan SIGAL Reports, No. 18-2,, 1990.
K. Iwama, E. Miyano, and Y. Kambayashi. Mesh-buses vs. mesh-connections. Technical Report 91-C07, Kyushu Univ., Kyushu, Japan, 1991.
D. Krizanc, S. Rajasekaran, and T. Tsantilas. Optimal routing algorithms for meshconnected processor arrays. LNCS, Vol. 319, pp. 411–422, 1988.
M. Kunde. Routing and sorting on mesh-connected arrays. LNCS, Vol. 319, pp. 423–433, 1988.
Y. Ma, S. Sen, and I. Scherson. The distance bound for sorting on mesh-connected processor arrays is tight. In Proc. 27th IEEE Symp. on Foundations of Computer Science, pp. 255–263, 1986.
K. Nakano, T. Masuzawa, and N. Tokura. Optimal parallel sorting algorithms on processor arrays with multiple buses, 1991. manuscript.
C. Schnorr and A. Shamir. An optimal sorting algorithms for mesh connected computers. In Proc. 18th ACM Symposium on Theory of Computing, pp. 255–263, 1986.
Q. Stout. Meshes with multiple buses. In Proc. 27th IEEE Symp. on Foundations of Computer Science, pp. 264–273, 1986.
Q. F. Stout. Mesh-connected computers with broadcasting. IEEE Trans. Comput., Vol. C-32, 9, pp. 826–830, 1983.
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© 1992 Springer-Verlag Berlin Heidelberg
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Iwama, K., Miyano, E., Kambayashi, Y. (1992). Routing problems on the mesh of buses. In: Ibaraki, T., Inagaki, Y., Iwama, K., Nishizeki, T., Yamashita, M. (eds) Algorithms and Computation. ISAAC 1992. Lecture Notes in Computer Science, vol 650. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56279-6_68
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DOI: https://doi.org/10.1007/3-540-56279-6_68
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